<!DOCTYPE html>
<html lang="zh-CN">
    <head>
        <meta charset="utf-8">
        <meta name="viewport" content="width=device-width, initial-scale=1">
        <meta name="robots" content="noodp" />
        <meta http-equiv="X-UA-Compatible" content="IE=edge, chrome=1">
        <title>硬件编程--电路与二进制运算 - Adbean&#39;s Blog</title><meta name="Description" content="Adbean&#39;s Blog"><meta property="og:title" content="硬件编程--电路与二进制运算" />
<meta property="og:description" content="实验目的 了解基本门电路 理解布尔代数、逻辑符号与电路之间关系 用门电路，实现简单的计算和存储功能 实验/学习工具 在线电路设计和仿真工具 EveryCircuit https://everycircuit.com/ 由于本机" />
<meta property="og:type" content="article" />
<meta property="og:url" content="https://adbean.gitee.io/posts/my-third-project/" />
<meta property="og:image" content="https://adbean.gitee.io/logo.png"/>
<meta property="article:published_time" content="2020-10-13T20:29:05+08:00" />
<meta property="article:modified_time" content="2020-10-13T20:29:05+08:00" />
<meta name="twitter:card" content="summary_large_image"/>
<meta name="twitter:image" content="https://adbean.gitee.io/logo.png"/>

<meta name="twitter:title" content="硬件编程--电路与二进制运算"/>
<meta name="twitter:description" content="实验目的 了解基本门电路 理解布尔代数、逻辑符号与电路之间关系 用门电路，实现简单的计算和存储功能 实验/学习工具 在线电路设计和仿真工具 EveryCircuit https://everycircuit.com/ 由于本机"/>
<meta name="application-name" content="Adbean&#39;s Blog">
<meta name="apple-mobile-web-app-title" content="Adbean&#39;s Blog"><meta name="theme-color" content="#ffffff"><meta name="msapplication-TileColor" content="#da532c"><link rel="icon" href="../../Owl.ico"><link rel="apple-touch-icon" sizes="180x180" href="../../apple-touch-icon.png"><link rel="mask-icon" href="../../safari-pinned-tab.svg" color="#5bbad5"><link rel="manifest" href="../../site.webmanifest"><link rel="canonical" href="https://adbean.gitee.io/posts/my-third-project/" /><link rel="prev" href="https://adbean.gitee.io/posts/my-sixth-post/" /><link rel="next" href="https://adbean.gitee.io/posts/my-seventh-post/" /><link rel="stylesheet" href="../../lib/normalize/normalize.min.css"><link rel="stylesheet" href="../../css/style.min.css"><link rel="stylesheet" href="../../lib/fontawesome-free/all.min.css"><link rel="stylesheet" href="../../lib/animate/animate.min.css"><script type="application/ld+json">
    {
        "@context": "http://schema.org",
        "@type": "BlogPosting",
        "headline": "硬件编程--电路与二进制运算",
        "inLanguage": "zh-CN",
        "mainEntityOfPage": {
            "@type": "WebPage",
            "@id": "https:\/\/adbean.gitee.io\/posts\/my-third-project\/"
        },"genre": "posts","keywords": "项目, Construct3, Game","wordcount":  737 ,
        "url": "https:\/\/adbean.gitee.io\/posts\/my-third-project\/","datePublished": "2020-10-13T20:29:05+08:00","dateModified": "2020-10-13T20:29:05+08:00","publisher": {
            "@type": "Organization",
            "name": "Adbean"},"author": {
                "@type": "Person",
                "name": "Adbean"
            },"description": ""
    }
    </script></head>
    <body header-desktop="fixed" header-mobile="auto"><script type="text/javascript">(window.localStorage && localStorage.getItem('theme') ? localStorage.getItem('theme') === 'dark' : ('dark' === 'auto' ? window.matchMedia('(prefers-color-scheme: dark)').matches : 'dark' === 'dark')) && document.body.setAttribute('theme', 'dark');</script>

        <div id="mask"></div><div class="wrapper"><header class="desktop" id="header-desktop">
    <div class="header-wrapper">
        <div class="header-title">
            <a href="../../" title="Adbean&#39;s Blog"><img
        class="lazyload logo"
        src="../../svg/loading.min.svg"
        data-src="../../Owl.ico"
        data-srcset="../../Owl.ico, ../../Owl.ico 1.5x, ../../Owl.ico 2x"
        data-sizes="auto"
        alt="/Owl.ico"
        title="/Owl.ico" />Adbean&#39;s Blog</a>
        </div>
        <div class="menu">
            <div class="menu-inner"><a class="menu-item" href="../../"> 主页 </a><a class="menu-item" href="../../posts/"> 文章 </a><a class="menu-item" href="../../posts/my-index/"> 索引 </a><a class="menu-item" href="../../tags/"> 标签 </a><a class="menu-item" href="../../categories/"> 分类 </a><span class="menu-item delimiter"></span><a href="javascript:void(0);" class="menu-item theme-switch" title="切换主题">
                    <i class="fas fa-adjust fa-fw"></i>
                </a>
            </div>
        </div>
    </div>
</header><header class="mobile" id="header-mobile">
    <div class="header-container">
        <div class="header-wrapper">
            <div class="header-title">
                <a href="../../" title="Adbean&#39;s Blog"><img
        class="lazyload logo"
        src="../../svg/loading.min.svg"
        data-src="../../Owl.ico"
        data-srcset="../../Owl.ico, ../../Owl.ico 1.5x, ../../Owl.ico 2x"
        data-sizes="auto"
        alt="/Owl.ico"
        title="/Owl.ico" />Adbean&#39;s Blog</a>
            </div>
            <div class="menu-toggle" id="menu-toggle-mobile">
                <span></span><span></span><span></span>
            </div>
        </div>
        <div class="menu" id="menu-mobile"><a class="menu-item" href="../../" title="">主页</a><a class="menu-item" href="../../posts/" title="">文章</a><a class="menu-item" href="../../posts/my-index/" title="">索引</a><a class="menu-item" href="../../tags/" title="">标签</a><a class="menu-item" href="../../categories/" title="">分类</a><a href="javascript:void(0);" class="menu-item theme-switch" title="切换主题">
                <i class="fas fa-adjust fa-fw"></i>
            </a></div>
    </div>
</header>
<div class="search-dropdown desktop">
    <div id="search-dropdown-desktop"></div>
</div>
<div class="search-dropdown mobile">
    <div id="search-dropdown-mobile"></div>
</div>
<main class="main">
                <div class="container"><div class="toc" id="toc-auto">
            <h2 class="toc-title">目录</h2>
            <div class="toc-content" id="toc-content-auto"></div>
        </div><article class="page single"><h1 class="single-title animated flipInX">硬件编程--电路与二进制运算</h1><div class="post-meta">
            <div class="post-meta-line"><span class="post-author"><a href="https://adbean.gitee.io/" title="Author" target="_blank" rel="noopener noreffer author" class="author"><i class="fas fa-user-circle fa-fw"></i>Adbean</a></span>&nbsp;<span class="post-category">收录于 <a href="../../categories/%E9%A1%B9%E7%9B%AE/"><i class="far fa-folder fa-fw"></i>项目</a></span></div>
            <div class="post-meta-line"><i class="far fa-calendar-alt fa-fw"></i>&nbsp;<time datetime="2020-10-13">2020-10-13</time>&nbsp;<i class="fas fa-pencil-alt fa-fw"></i>&nbsp;约 737 字&nbsp;
                <i class="far fa-clock fa-fw"></i>&nbsp;预计阅读 2 分钟&nbsp;</div>
        </div><div class="details toc" id="toc-static"  kept="">
                <div class="details-summary toc-title">
                    <span>目录</span>
                    <span><i class="details-icon fas fa-angle-right"></i></span>
                </div>
                <div class="details-content toc-content" id="toc-content-static"><nav id="TableOfContents">
  <ul>
    <li><a href="#实验目的">实验目的</a></li>
    <li><a href="#实验学习工具">实验/学习工具</a></li>
    <li><a href="#非门-not-gate">非门 NOT gate</a>
      <ul>
        <li><a href="#建立非门功能o--a验证电路">建立非门功能(O = A&rsquo;)验证电路</a></li>
        <li><a href="#非门真值表">非门真值表</a></li>
      </ul>
    </li>
    <li><a href="#与门-and-gate">与门 AND gate</a>
      <ul>
        <li><a href="#任务-1建立一个简单电路">任务 1：建立一个简单电路</a></li>
        <li><a href="#任务-2验证电路等价">任务 2：验证电路等价</a></li>
        <li><a href="#任务-3理解存储电路">任务 3：理解存储电路</a></li>
        <li><a href="#任务-4设计全加电路">任务 4：设计全加电路</a></li>
      </ul>
    </li>
  </ul>
</nav></div>
            </div><div class="content" id="content"><h2 id="实验目的">实验目的</h2>
<ul>
<li>了解基本门电路</li>
<li>理解布尔代数、逻辑符号与电路之间关系</li>
<li>用门电路，实现简单的计算和存储功能</li>
</ul>
<h2 id="实验学习工具">实验/学习工具</h2>
<blockquote>
<p>在线电路设计和仿真工具 EveryCircuit <a href="https://everycircuit.com/">https://everycircuit.com/</a></p>
<p>由于本机环境下使用 chrome 时无法加载 EveryCircuit，本次实验均在 iPad 上进行，环境为 iPadOS + EveryCircuit</p>
</blockquote>
<h2 id="非门-not-gate">非门 NOT gate</h2>
<h3 id="建立非门功能o--a验证电路">建立非门功能(O = A&rsquo;)验证电路</h3>
<p>搭建如下图验证电路：电阻选用 1k 欧姆用一个开关控制输入，LED 表示输出</p>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../NOTgate1.PNG"
        data-srcset="../../NOTgate1.PNG, ../../NOTgate1.PNG 1.5x, ../../NOTgate1.PNG 2x"
        data-sizes="auto"
        alt="/NOTgate1.PNG"
        title="notGate1" /></p>
<p>可见当高电平通过非门（反相器）时，电平从高电平转为低电平，小灯泡不亮，此时电压表显示$ 49.5\mu V $</p>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../NOTgate2.PNG"
        data-srcset="../../NOTgate2.PNG, ../../NOTgate2.PNG 1.5x, ../../NOTgate2.PNG 2x"
        data-sizes="auto"
        alt="/NOTgate2.PNG"
        title="notGate2" /></p>
<p>可见当低电平通过非门（反相器）时，电平从低电平转为高电平，小灯泡点亮，此时电压表显示$ 4.95 V $</p>
<h3 id="非门真值表">非门真值表</h3>
<table>
<thead>
<tr>
<th align="center">INPUT(toggle switch)</th>
<th align="center">OUTPUT(led)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">ON(1)</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">OFF(0)</td>
<td align="center">Red(1)</td>
</tr>
</tbody>
</table>
<h2 id="与门-and-gate">与门 AND gate</h2>
<h3 id="任务-1建立一个简单电路">任务 1：建立一个简单电路</h3>
<ol>
<li>
<p>设计<strong>与门验证电路</strong></p>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../ANDgate1.PNG"
        data-srcset="../../ANDgate1.PNG, ../../ANDgate1.PNG 1.5x, ../../ANDgate1.PNG 2x"
        data-sizes="auto"
        alt="/ANDgate1.PNG"
        title="ANDgate" />
<img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../ANDgate2.PNG"
        data-srcset="../../ANDgate2.PNG, ../../ANDgate2.PNG 1.5x, ../../ANDgate2.PNG 2x"
        data-sizes="auto"
        alt="/ANDgate2.PNG"
        title="ANDgate" />
<img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../ANDgate3.PNG"
        data-srcset="../../ANDgate3.PNG, ../../ANDgate3.PNG 1.5x, ../../ANDgate3.PNG 2x"
        data-sizes="auto"
        alt="/ANDgate3.PNG"
        title="ANDgate" />
<img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../ANDgate4.PNG"
        data-srcset="../../ANDgate4.PNG, ../../ANDgate4.PNG 1.5x, ../../ANDgate4.PNG 2x"
        data-sizes="auto"
        alt="/ANDgate4.PNG"
        title="ANDgate" /></p>
<p>为了验证与门的功能，最后将电阻阻值设置为 400 欧姆且连上了电压表，LED 灯明显点亮，电压表显示 773 mV</p>
</li>
<li>
<p>画<strong>真值表</strong>验证与门功能</p>
</li>
</ol>
<table>
<thead>
<tr>
<th align="center">INPUT A(logic source)</th>
<th align="center">INPUT B(logic source)</th>
<th align="center">OUTPUT(led)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">RED(1)</td>
</tr>
</tbody>
</table>
<ol start="3">
<li>选做题：
<ul>
<li>如何用 XOR 门作非门。</li>
<li>串联、并联三极管，结果是什么门？</li>
</ul>
</li>
</ol>
<ul>
<li>
<p>当两输入异或门的其中一个输入固定为 1，则当另一个输入为 0 时，输出为 1，另一个输入为 1 时，输出为 0，此时 XOR 门可以当做非门。
<img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../XORNOTgate1.PNG"
        data-srcset="../../XORNOTgate1.PNG, ../../XORNOTgate1.PNG 1.5x, ../../XORNOTgate1.PNG 2x"
        data-sizes="auto"
        alt="/XORNOTgate1.PNG"
        title="XORNOT" />
<img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../XORNOTgate2.PNG"
        data-srcset="../../XORNOTgate2.PNG, ../../XORNOTgate2.PNG 1.5x, ../../XORNOTgate2.PNG 2x"
        data-sizes="auto"
        alt="/XORNOTgate2.PNG"
        title="XORNOT" /></p>
</li>
<li>
<p>串联、并联三极管，结果是什么门？</p>
<table>
<thead>
<tr>
<th align="center">INPUT A(logic source)</th>
<th align="center">INPUT B(logic source)</th>
<th align="center">OUTPUT(led)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">RED(1)</td>
</tr>
</tbody>
</table>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../parallel.PNG"
        data-srcset="../../parallel.PNG, ../../parallel.PNG 1.5x, ../../parallel.PNG 2x"
        data-sizes="auto"
        alt="/parallel.PNG"
        title="parallel" /></p>
<table>
<thead>
<tr>
<th align="center">INPUT A(logic source)</th>
<th align="center">INPUT B(logic source)</th>
<th align="center">OUTPUT(led)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">OFF(0)</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">RED(1)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">OFF(1)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">RED(1)</td>
</tr>
</tbody>
</table>
</li>
</ul>
<p>综上：
三极管串联是与门，三极管并联是或门。</p>
<h3 id="任务-2验证电路等价">任务 2：验证电路等价</h3>
<ol>
<li>分别建立电路 A（B+C）和 AB+AC 在一个界面上。</li>
</ol>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../equilavance.PNG"
        data-srcset="../../equilavance.PNG, ../../equilavance.PNG 1.5x, ../../equilavance.PNG 2x"
        data-sizes="auto"
        alt="/equilavance.PNG"
        title="equiv" /></p>
<ol start="2">
<li>并枚举所有可能输入，用真值表记录结果</li>
</ol>
<table>
<thead>
<tr>
<th align="center">A</th>
<th align="center">B</th>
<th align="center">C</th>
<th align="center">OUTPUT1</th>
<th align="center">OUTPUT2</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
</tbody>
</table>
<h3 id="任务-3理解存储电路">任务 3：理解存储电路</h3>
<ol>
<li>按课件 S-R latch 搭建电路，例如：</li>
</ol>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../SR.PNG"
        data-srcset="../../SR.PNG, ../../SR.PNG 1.5x, ../../SR.PNG 2x"
        data-sizes="auto"
        alt="/SR.PNG"
        title="SR" /></p>
<ol start="2">
<li>顺序按 Set，Reset，并填写以下表格</li>
</ol>
<table>
<thead>
<tr>
<th align="center">~Set</th>
<th align="center">~Reset</th>
<th align="center">Q(X)</th>
<th align="center">~Q（Y）</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1(No Change)</td>
<td align="center">0 (No Change)</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">0(No Change)</td>
<td align="center">1(No Change)</td>
</tr>
</tbody>
</table>
<h3 id="任务-4设计全加电路">任务 4：设计全加电路</h3>
<ol>
<li>画出一位的全加电路</li>
</ol>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../1bitAdder1.png"
        data-srcset="../../1bitAdder1.png, ../../1bitAdder1.png 1.5x, ../../1bitAdder1.png 2x"
        data-sizes="auto"
        alt="/1bitAdder1.png"
        title="1bitADD" /></p>
<ol start="2">
<li>画出二位的全加电路</li>
</ol>
<p><img
        class="lazyload"
        src="../../svg/loading.min.svg"
        data-src="../../2bitAdder.PNG"
        data-srcset="../../2bitAdder.PNG, ../../2bitAdder.PNG 1.5x, ../../2bitAdder.PNG 2x"
        data-sizes="auto"
        alt="/2bitAdder.PNG"
        title="2bitAdder" /></p>
</div><div class="post-footer" id="post-footer">
    <div class="post-info">
        <div class="post-info-line">
            <div class="post-info-mod">
                <span>更新于 2020-10-13</span>
            </div>
            <div class="post-info-license"></div>
        </div>
        <div class="post-info-line">
            <div class="post-info-md"></div>
            <div class="post-info-share">
                <span></span>
            </div>
        </div>
    </div>

    <div class="post-info-more">
        <section class="post-tags"><i class="fas fa-tags fa-fw"></i>&nbsp;<a href="../../tags/%E9%A1%B9%E7%9B%AE/">项目</a>,&nbsp;<a href="../../tags/construct3/">Construct3</a>,&nbsp;<a href="../../tags/game/">Game</a></section>
        <section>
            <span><a href="javascript:void(0);" onclick="window.history.back();">返回</a></span>&nbsp;|&nbsp;<span><a href="../../">主页</a></span>
        </section>
    </div>

    <div class="post-nav"><a href="../../posts/my-sixth-post/" class="prev" rel="prev" title="06-计算机组成和名词解释"><i class="fas fa-angle-left fa-fw"></i>06-计算机组成和名词解释</a>
            <a href="../../posts/my-seventh-post/" class="next" rel="next" title="07-机器语言和名词解释">07-机器语言和名词解释<i class="fas fa-angle-right fa-fw"></i></a></div>
</div>
</article></div>
            </main><footer class="footer">
        <div class="footer-container"><div class="footer-line">由 <a href="https://gohugo.io/" target="_blank" rel="noopener noreffer" title="Hugo 0.74.3">Hugo</a> 强力驱动 | 主题 - <a href="https://github.com/dillonzq/LoveIt" target="_blank" rel="noopener noreffer" title="LoveIt 0.2.10"><i class="far fa-kiss-wink-heart fa-fw"></i> LoveIt</a>
                </div><div class="footer-line"><i class="far fa-copyright fa-fw"></i><span itemprop="copyrightYear">2020 - 2021</span><span class="author" itemprop="copyrightHolder">&nbsp;<a href="https://adbean.gitee.io/" target="_blank">Adbean</a></span>&nbsp;|&nbsp;<span class="license"><a rel="license external nofollow noopener noreffer" href="https://creativecommons.org/licenses/by-nc/4.0/" target="_blank">CC BY-NC 4.0</a></span></div>
        </div>
    </footer></div>

        <div id="fixed-buttons"><a href="#" id="back-to-top" class="fixed-button" title="回到顶部">
                <i class="fas fa-arrow-up fa-fw"></i>
            </a><a href="#" id="view-comments" class="fixed-button" title="查看评论">
                <i class="fas fa-comment fa-fw"></i>
            </a>
        </div><link rel="stylesheet" href="../../lib/katex/katex.min.css"><link rel="stylesheet" href="../../lib/katex/copy-tex.min.css"><script type="text/javascript" src="../../lib/smooth-scroll/smooth-scroll.min.js"></script><script type="text/javascript" src="../../lib/lazysizes/lazysizes.min.js"></script><script type="text/javascript" src="../../lib/clipboard/clipboard.min.js"></script><script type="text/javascript" src="../../lib/katex/katex.min.js"></script><script type="text/javascript" src="../../lib/katex/auto-render.min.js"></script><script type="text/javascript" src="../../lib/katex/copy-tex.min.js"></script><script type="text/javascript" src="../../lib/katex/mhchem.min.js"></script><script type="text/javascript">window.config={"code":{"copyTitle":"复制到剪贴板","maxShownLines":50},"comment":{},"math":{"delimiters":[{"display":true,"left":"$$","right":"$$"},{"display":true,"left":"\\[","right":"\\]"},{"display":false,"left":"$","right":"$"},{"display":false,"left":"\\(","right":"\\)"}],"strict":false}};</script><script type="text/javascript" src="../../js/theme.min.js"></script></body>
</html>
